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Wide Flange Steel I Beam: W18 × 50
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Wide Flange Steel I Beam » W18 × 50
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 800 in4) for the W18 × 50 Wide Flange Steel I Beam and the typical Young's modulus (E = 3.046 × 107 psi) of steels. Note that the typical yielding stress Yield of steels can range from 1.015 × 104 to 2.970 × 105 psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.

Note: The weight of the beam itself is not included in the calculation.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
L = 80 ft
L = 90 ft
L = 100 ft
L = 125 ft
L = 150 ft
  
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.81 × 10-6 6.50
60.0 2.17 × 10-6 7.80
70.0 2.53 × 10-6 9.10
80.0 2.90 × 10-6 10.4
90.0 3.26 × 10-6 11.7
100 3.62 × 10-6 13.0
200 7.24 × 10-6 26.0
300 1.09 × 10-5 39.0
400 1.45 × 10-5 52.0
500 1.81 × 10-5 65.0
600 2.17 × 10-5 78.0
700 2.53 × 10-5 91.0
800 2.90 × 10-5 104
900 3.26 × 10-5 117
1000 3.62 × 10-5 130
2000 7.24 × 10-5 260
3000 1.09 × 10-4 390
4000 1.45 × 10-4 520
5000 1.81 × 10-4 650
6000 2.17 × 10-4 780
7000 2.53 × 10-4 910
8000 2.90 × 10-4 1040
9000 3.26 × 10-4 1170
1.00 × 104 3.62 × 10-4 1300
2.00 × 104 7.24 × 10-4 2600
3.00 × 104 0.00109 3900
4.00 × 104 0.00145 5200
5.00 × 104 0.00181 6500
6.00 × 104 0.00217 7800
7.00 × 104 0.00253 9100
8.00 × 104 0.00290 1.04 × 104
9.00 × 104 0.00326 1.17 × 104
1.00 × 105 0.00362 1.30 × 104
2.00 × 105 0.00724 2.60 × 104
3.00 × 105 0.0109 3.90 × 104
4.00 × 105 0.0145 5.20 × 104
5.00 × 105 0.0181 6.50 × 104
6.00 × 105 0.0217 7.80 × 104
7.00 × 105 0.0253 9.10 × 104
8.00 × 105 0.0290 1.04 × 105
9.00 × 105 0.0326 1.17 × 105
1.00 × 106 0.0362 1.30 × 105
2.00 × 106 0.0724 2.60 × 105
2.28 × 106 0.0827 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.40 × 10-5 18.1
60.0 1.68 × 10-5 21.7
70.0 1.95 × 10-5 25.3
80.0 2.23 × 10-5 28.9
90.0 2.51 × 10-5 32.5
100 2.79 × 10-5 36.1
200 5.58 × 10-5 72.3
300 8.38 × 10-5 108
400 1.12 × 10-4 145
500 1.40 × 10-4 181
600 1.68 × 10-4 217
700 1.95 × 10-4 253
800 2.23 × 10-4 289
900 2.51 × 10-4 325
1000 2.79 × 10-4 361
2000 5.58 × 10-4 723
3000 8.38 × 10-4 1080
4000 0.00112 1450
5000 0.00140 1810
6000 0.00168 2170
7000 0.00195 2530
8000 0.00223 2890
9000 0.00251 3250
1.00 × 104 0.00279 3610
2.00 × 104 0.00558 7230
3.00 × 104 0.00838 1.08 × 104
4.00 × 104 0.0112 1.45 × 104
5.00 × 104 0.0140 1.81 × 104
6.00 × 104 0.0168 2.17 × 104
7.00 × 104 0.0195 2.53 × 104
8.00 × 104 0.0223 2.89 × 104
9.00 × 104 0.0251 3.25 × 104
1.00 × 105 0.0279 3.61 × 104
2.00 × 105 0.0558 7.23 × 104
3.00 × 105 0.0838 1.08 × 105
4.00 × 105 0.112 1.45 × 105
5.00 × 105 0.140 1.81 × 105
6.00 × 105 0.168 2.17 × 105
7.00 × 105 0.195 2.53 × 105
8.00 × 105 0.223 2.89 × 105
8.22 × 105 0.230 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.23 × 10-4 72.3
60.0 2.68 × 10-4 86.7
70.0 3.13 × 10-4 101
80.0 3.57 × 10-4 116
90.0 4.02 × 10-4 130
100 4.47 × 10-4 145
200 8.94 × 10-4 289
300 0.00134 434
400 0.00179 578
500 0.00223 723
600 0.00268 867
700 0.00313 1010
800 0.00357 1160
900 0.00402 1300
1000 0.00447 1450
2000 0.00894 2890
3000 0.0134 4340
4000 0.0179 5780
5000 0.0223 7230
6000 0.0268 8670
7000 0.0313 1.01 × 104
8000 0.0357 1.16 × 104
9000 0.0402 1.30 × 104
1.00 × 104 0.0447 1.45 × 104
2.00 × 104 0.0894 2.89 × 104
3.00 × 104 0.134 4.34 × 104
4.00 × 104 0.179 5.78 × 104
5.00 × 104 0.223 7.23 × 104
6.00 × 104 0.268 8.67 × 104
7.00 × 104 0.313 1.01 × 105
8.00 × 104 0.357 1.16 × 105
9.00 × 104 0.402 1.30 × 105
1.00 × 105 0.447 1.45 × 105
2.00 × 105 0.894 2.89 × 105
2.06 × 105 0.918 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00113 163
60.0 0.00136 195
70.0 0.00158 228
80.0 0.00181 260
90.0 0.00204 293
100 0.00226 325
200 0.00452 650
300 0.00679 975
400 0.00905 1300
500 0.0113 1630
600 0.0136 1950
700 0.0158 2280
800 0.0181 2600
900 0.0204 2930
1000 0.0226 3250
2000 0.0452 6500
3000 0.0679 9750
4000 0.0905 1.30 × 104
5000 0.113 1.63 × 104
6000 0.136 1.95 × 104
7000 0.158 2.28 × 104
8000 0.181 2.60 × 104
9000 0.204 2.93 × 104
1.00 × 104 0.226 3.25 × 104
2.00 × 104 0.452 6.50 × 104
3.00 × 104 0.679 9.75 × 104
4.00 × 104 0.905 1.30 × 105
5.00 × 104 1.13 1.63 × 105
6.00 × 104 1.36 1.95 × 105
7.00 × 104 1.58 2.28 × 105
8.00 × 104 1.81 2.60 × 105
9.00 × 104 2.04 2.93 × 105
9.14 × 104 2.07 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00357 289
60.0 0.00429 347
70.0 0.00500 405
80.0 0.00572 462
90.0 0.00643 520
100 0.00715 578
200 0.0143 1160
300 0.0214 1730
400 0.0286 2310
500 0.0357 2890
600 0.0429 3470
700 0.0500 4050
800 0.0572 4620
900 0.0643 5200
1000 0.0715 5780
2000 0.143 1.16 × 104
3000 0.214 1.73 × 104
4000 0.286 2.31 × 104
5000 0.357 2.89 × 104
6000 0.429 3.47 × 104
7000 0.500 4.05 × 104
8000 0.572 4.62 × 104
9000 0.643 5.20 × 104
1.00 × 104 0.715 5.78 × 104
2.00 × 104 1.43 1.16 × 105
3.00 × 104 2.14 1.73 × 105
4.00 × 104 2.86 2.31 × 105
5.00 × 104 3.57 2.89 × 105
5.14 × 104 3.67 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.00873 452
60.0 0.0105 542
70.0 0.0122 632
80.0 0.0140 723
90.0 0.0157 813
100 0.0175 903
200 0.0349 1810
300 0.0524 2710
400 0.0698 3610
500 0.0873 4520
600 0.105 5420
700 0.122 6320
800 0.140 7230
900 0.157 8130
1000 0.175 9030
2000 0.349 1.81 × 104
3000 0.524 2.71 × 104
4000 0.698 3.61 × 104
5000 0.873 4.52 × 104
6000 1.05 5.42 × 104
7000 1.22 6.32 × 104
8000 1.40 7.23 × 104
9000 1.57 8.13 × 104
1.00 × 104 1.75 9.03 × 104
2.00 × 104 3.49 1.81 × 105
3.00 × 104 5.24 2.71 × 105
3.29 × 104 5.74 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0181 650
60.0 0.0217 780
70.0 0.0253 910
80.0 0.0290 1040
90.0 0.0326 1170
100 0.0362 1300
200 0.0724 2600
300 0.109 3900
400 0.145 5200
500 0.181 6500
600 0.217 7800
700 0.253 9100
800 0.290 1.04 × 104
900 0.326 1.17 × 104
1000 0.362 1.30 × 104
2000 0.724 2.60 × 104
3000 1.09 3.90 × 104
4000 1.45 5.20 × 104
5000 1.81 6.50 × 104
6000 2.17 7.80 × 104
7000 2.53 9.10 × 104
8000 2.90 1.04 × 105
9000 3.26 1.17 × 105
1.00 × 104 3.62 1.30 × 105
2.00 × 104 7.24 2.60 × 105
2.28 × 104 8.27 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.0572 1160
60.0 0.0686 1390
70.0 0.0801 1620
80.0 0.0915 1850
90.0 0.103 2080
100 0.114 2310
200 0.229 4620
300 0.343 6940
400 0.458 9250
500 0.572 1.16 × 104
600 0.686 1.39 × 104
700 0.801 1.62 × 104
800 0.915 1.85 × 104
900 1.03 2.08 × 104
1000 1.14 2.31 × 104
2000 2.29 4.62 × 104
3000 3.43 6.94 × 104
4000 4.58 9.25 × 104
5000 5.72 1.16 × 105
6000 6.86 1.39 × 105
7000 8.01 1.62 × 105
8000 9.15 1.85 × 105
9000 10.3 2.08 × 105
1.00 × 104 11.4 2.31 × 105
1.28 × 104 14.7 2.97 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.140 1810
60.0 0.168 2170
70.0 0.195 2530
80.0 0.223 2890
90.0 0.251 3250
100 0.279 3610
200 0.558 7230
300 0.838 1.08 × 104
400 1.12 1.45 × 104
500 1.40 1.81 × 104
600 1.68 2.17 × 104
700 1.95 2.53 × 104
800 2.23 2.89 × 104
900 2.51 3.25 × 104
1000 2.79 3.61 × 104
2000 5.58 7.23 × 104
3000 8.38 1.08 × 105
4000 11.2 1.45 × 105
5000 14.0 1.81 × 105
6000 16.8 2.17 × 105
6440 18.0 2.33 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.290 2600
60.0 0.347 3120
70.0 0.405 3640
80.0 0.463 4160
90.0 0.521 4680
100 0.579 5200
200 1.16 1.04 × 104
300 1.74 1.56 × 104
400 2.32 2.08 × 104
500 2.90 2.60 × 104
600 3.47 3.12 × 104
700 4.05 3.64 × 104
800 4.63 4.16 × 104
900 5.21 4.68 × 104
1000 5.79 5.20 × 104
2000 11.6 1.04 × 105
3000 17.4 1.56 × 105
3110 18.0 1.62 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.536 3540
60.0 0.644 4250
70.0 0.751 4960
80.0 0.858 5660
90.0 0.965 6370
100 1.07 7080
200 2.15 1.42 × 104
300 3.22 2.12 × 104
400 4.29 2.83 × 104
500 5.36 3.54 × 104
600 6.44 4.25 × 104
700 7.51 4.96 × 104
800 8.58 5.66 × 104
900 9.65 6.37 × 104
1000 10.7 7.08 × 104
1680 18.0 1.19 × 105
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 80.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 0.915 4620
60.0 1.10 5550
70.0 1.28 6470
80.0 1.46 7400
90.0 1.65 8320
100 1.83 9250
200 3.66 1.85 × 104
300 5.49 2.77 × 104
400 7.32 3.70 × 104
500 9.15 4.62 × 104
600 11.0 5.55 × 104
700 12.8 6.47 × 104
800 14.6 7.40 × 104
900 16.5 8.32 × 104
983 18.0 9.09 × 104
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 90.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 1.47 5850
60.0 1.76 7020
70.0 2.05 8190
80.0 2.35 9360
90.0 2.64 1.05 × 104
100 2.93 1.17 × 104
200 5.86 2.34 × 104
300 8.79 3.51 × 104
400 11.7 4.68 × 104
500 14.7 5.85 × 104
600 17.6 7.02 × 104
614 18.0 7.18 × 104
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 100 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 2.23 7230
60.0 2.68 8670
70.0 3.13 1.01 × 104
80.0 3.57 1.16 × 104
90.0 4.02 1.30 × 104
100 4.47 1.45 × 104
200 8.94 2.89 × 104
300 13.4 4.34 × 104
400 17.9 5.78 × 104
403 18.0 5.82 × 104
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 125 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 5.45 1.13 × 104
60.0 6.54 1.35 × 104
70.0 7.64 1.58 × 104
80.0 8.73 1.81 × 104
90.0 9.82 2.03 × 104
100 10.9 2.26 × 104
165 18.0 3.72 × 104
Steel I Beam: W18 × 50 (Wide Flange 18 inch tall × 50 lbf/ft)
L = 150 ft
P (lbf/ft) w_max (in) stress_max (psi)
50.0 11.3 1.63 × 104
60.0 13.6 1.95 × 104
70.0 15.8 2.28 × 104
79.5 18.0 2.59 × 104
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